The Hasse principle for systems of diagonal cubic forms

Joerg Bruedern; Trevor D Wooley

doi:10.1007/s00208-015-1249-1

The Hasse principle for systems of diagonal cubic forms

Joerg Bruedern, Trevor D Wooley

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Abstract

We establish the Hasse Principle for systems of r simultaneous diagonal cubic equations whenever the number of variables exceeds 6r and the associated coefficient matrix contains no singular r x r submatrix, thereby achieving the theoretical limit of the circle method for such systems.

Original language	English
Pages (from-to)	1255-1274
Number of pages	20
Journal	Mathematische Annalen
Volume	364
Issue number	3-4
Early online date	4 Jul 2015
DOIs	https://doi.org/10.1007/s00208-015-1249-1
Publication status	Published - 8 Mar 2016

Keywords

math.NT
11D72
11P55
11E76

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10.1007/s00208-015-1249-1

hpsyscub20150605
The final publication is available at Springer via http://dx.doi.org/10.1007/s00208-015-1249-1
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AU - Wooley, Trevor D

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AB - We establish the Hasse Principle for systems of r simultaneous diagonal cubic equations whenever the number of variables exceeds 6r and the associated coefficient matrix contains no singular r x r submatrix, thereby achieving the theoretical limit of the circle method for such systems.

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KW - 11P55

KW - 11E76

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DO - 10.1007/s00208-015-1249-1

M3 - Article (Academic Journal)

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EP - 1274

JO - Mathematische Annalen

JF - Mathematische Annalen

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The Hasse principle for systems of diagonal cubic forms

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Keywords

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